Question 11
Alex and Julia play a leaf-taking game with three plates containing 1, 2 and 3 leaves as shown below. On each turn, a player takes any positive number of leaves, but only from one plate. The winner takes the last leaf or leaves from the plates.
Alex plays first. From which plate should he take leaves on his first turn to guarantee a win, even if Julia plays as well as possible?
Alex plays first. From which plate should he take leaves on his first turn to guarantee a win, even if Julia plays as well as possible?